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<div class="title">cGroup&lt; T, group_rep &gt; Class Template Reference</div>  </div>
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<p><code>#include &lt;<a class="el" href="group_8h_source.html">group.h</a>&gt;</code></p>
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Inheritance diagram for cGroup&lt; T, group_rep &gt;:</div>
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Collaboration diagram for cGroup&lt; T, group_rep &gt;:</div>
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<table class="memberdecls">
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Public Types</h2></td></tr>
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typedef T&#160;</td><td class="memItemRight" valign="bottom"><b>ElementType</b></td></tr>
<tr class="separator:abf5ed8f308bc05dbbb75b1f2ccb3bf18"><td class="memSeparator" colspan="2">&#160;</td></tr>
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typedef <a class="el" href="classcGroup.html">cGroup</a>&lt; T, group_rep &gt;&#160;</td><td class="memItemRight" valign="bottom"><b>SelfType</b></td></tr>
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typedef group_rep&lt; T &gt;&#160;</td><td class="memItemRight" valign="bottom"><b>RepType</b></td></tr>
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typedef std::vector&lt; ElementType &gt;&#160;</td><td class="memItemRight" valign="bottom"><b>GrpVec</b></td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
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&#160;</td><td class="memItemRight" valign="bottom"><b>cGroup</b> (std::vector&lt; ElementType &gt; &amp;gr_vec)</td></tr>
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<tr class="memitem:a38b515a0db10fa1fcebe7b635fc0d481"><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a38b515a0db10fa1fcebe7b635fc0d481"></a>
&#160;</td><td class="memItemRight" valign="bottom"><b>cGroup</b> (std::initializer_list&lt; T &gt; ini_list)</td></tr>
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<tr class="memitem:acb69bf5f56805920d414a80ac5e54f36"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcGroup.html#acb69bf5f56805920d414a80ac5e54f36">isSoluble</a> () const </td></tr>
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<tr class="memitem:a5177b0cd3b5a1c6d1dc7673c28fa14f0"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classcSubgroup.html">cSubgroup</a>&lt; <a class="el" href="classcGroup.html">SelfType</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcGroup.html#a5177b0cd3b5a1c6d1dc7673c28fa14f0">GetCentralizer</a> (const <a class="el" href="classcSubgroup.html">cSubgroup</a>&lt; <a class="el" href="classcGroup.html">SelfType</a> &gt; &amp;_subgrp, GrpVec &amp;grp_el) const </td></tr>
<tr class="separator:a5177b0cd3b5a1c6d1dc7673c28fa14f0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ade523d25a78970fffa70f17d68643d15"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classcSubgroup.html">cSubgroup</a>&lt; <a class="el" href="classcGroup.html">SelfType</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcGroup.html#ade523d25a78970fffa70f17d68643d15">GetCenter</a> (GrpVec &amp;grp_el) const </td></tr>
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<tr class="memitem:a1bcc2cdb6db5251b23cd099b25ffa057"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classcSubgroup.html">cSubgroup</a>&lt; <a class="el" href="classcGroup.html">SelfType</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcGroup.html#a1bcc2cdb6db5251b23cd099b25ffa057">GetNormalizer</a> (const <a class="el" href="classcSubgroup.html">cSubgroup</a>&lt; <a class="el" href="classcGroup.html">SelfType</a> &gt; &amp;_subgrp) const </td></tr>
<tr class="separator:a1bcc2cdb6db5251b23cd099b25ffa057"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac0b8279834b59139afeb562be03937de"><td class="memItemLeft" align="right" valign="top">std::vector&lt; ElementType &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcGroup.html#ac0b8279834b59139afeb562be03937de">GetCentralizerEl</a> (ElementType &amp;element, GrpVec &amp;grp_el) const </td></tr>
<tr class="separator:ac0b8279834b59139afeb562be03937de"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa0946d645c3ae06c56dc16f13a9f7ef2"><td class="memItemLeft" align="right" valign="top">std::vector&lt; ElementType &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcGroup.html#aa0946d645c3ae06c56dc16f13a9f7ef2">GetCenterEl</a> (GrpVec &amp;grp_el) const </td></tr>
<tr class="separator:aa0946d645c3ae06c56dc16f13a9f7ef2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a442a90478046593d38f5d131eb22b9a9"><td class="memItemLeft" align="right" valign="top">std::vector&lt; ElementType &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcGroup.html#a442a90478046593d38f5d131eb22b9a9">GetNormalizerEl</a> (const <a class="el" href="classcSubgroup.html">cSubgroup</a>&lt; <a class="el" href="classcGroup.html">SelfType</a> &gt; &amp;_subgrp) const </td></tr>
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</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><h3>template&lt;typename T, template&lt; typename &gt; class group_rep = cGenRep&gt;<br/>
class cGroup&lt; T, group_rep &gt;</h3>

<p>this class represents a group given by a set of generators it uses an internal representation given by the group_rep template parameter and the type element T </p>
</div><h2 class="groupheader">Member Function Documentation</h2>
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template&lt;typename T , template&lt; typename &gt; class group_rep = cGenRep&gt; </div>
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          <td class="memname"><a class="el" href="classcSubgroup.html">cSubgroup</a>&lt;<a class="el" href="classcGroup.html">SelfType</a>&gt; <a class="el" href="classcGroup.html">cGroup</a>&lt; T, group_rep &gt;::GetCenter </td>
          <td>(</td>
          <td class="paramtype">GrpVec &amp;&#160;</td>
          <td class="paramname"><em>grp_el</em></td><td>)</td>
          <td> const</td>
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<p>returns the center subgroup of the group Z(G), the elements that comute with all the elements of the group </p>

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template&lt;typename T , template&lt; typename &gt; class group_rep = cGenRep&gt; </div>
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          <td class="memname">std::vector&lt;ElementType&gt; <a class="el" href="classcGroup.html">cGroup</a>&lt; T, group_rep &gt;::GetCenterEl </td>
          <td>(</td>
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          <td class="paramname"><em>grp_el</em></td><td>)</td>
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<p>returns the centralizer subgroup of the group as a list of elements </p>

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template&lt;typename T , template&lt; typename &gt; class group_rep = cGenRep&gt; </div>
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          <td class="memname"><a class="el" href="classcSubgroup.html">cSubgroup</a>&lt;<a class="el" href="classcGroup.html">SelfType</a>&gt; <a class="el" href="classcGroup.html">cGroup</a>&lt; T, group_rep &gt;::GetCentralizer </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classcSubgroup.html">cSubgroup</a>&lt; <a class="el" href="classcGroup.html">SelfType</a> &gt; &amp;&#160;</td>
          <td class="paramname"><em>_subgrp</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">GrpVec &amp;&#160;</td>
          <td class="paramname"><em>grp_el</em>&#160;</td>
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          <td></td>
          <td>)</td>
          <td></td><td> const</td>
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<p>returns the centralizer subgroup of the group using the given subgroup </p>

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<a class="anchor" id="ac0b8279834b59139afeb562be03937de"></a>
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template&lt;typename T , template&lt; typename &gt; class group_rep = cGenRep&gt; </div>
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          <td>(</td>
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          <td class="paramname"><em>element</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramtype">GrpVec &amp;&#160;</td>
          <td class="paramname"><em>grp_el</em>&#160;</td>
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          <td></td>
          <td>)</td>
          <td></td><td> const</td>
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<p>returns the centralizer subgroup of a given element </p>

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          <td>(</td>
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          <td class="paramname"><em>_subgrp</em></td><td>)</td>
          <td> const</td>
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<p>returns the normalizer subgroup, given a subgroup </p>

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          <td> const</td>
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<p>TODO &ndash; check for bugs returns the normalizer subgroup of the given subgroup as a list of elements </p>

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template&lt;typename T , template&lt; typename &gt; class group_rep = cGenRep&gt; </div>
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<p>TODO implement this ? returns true if the group is soluble </p>

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<hr/>The documentation for this class was generated from the following file:<ul>
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